Department Of Mathematics

Publications of Emmanuel Katsoprinakis

Publications:

1. On a Theorem of Marcinkiewicz and Zygmund for Taylor series. Arkiv for Matematik,
vol. 27 (1989), 105-126.
2. Partial sums of Taylor series on a circle,(joint with V. Nestoridis), Ann. Inst. Fourier 39
(1989), 715-736.
3. On the Sendov-Ilyeff Conjecture. Bull. London Math. Soc. 24 (1992), 449-455.
4. Taylor series with limit-points on a finite number of circles.Transactions of Amer. Math.
Soc. vol. 337 (1993), No 1 437-450
5. An application of Kronecker's Theorem to rational functions,(joint with V. Nestoridis),
Mathematische Annalen 298 (1994), 145-166.
6. Erratum to "On the Sendov-Ilyeff Conjecture". Bull London Math. Soc. 28 (1996),
605-612.
7. On the complex Rolle set of a polynomial.Computational Methods and Function Theory
1997,CMFT `97 Proceedings (1999), 315-326.
8. Extensions of a Theorem of Marcinkiewicz-Zygmund and of Rogosinki's formula and an
applications to Universal Taylor Series,(joint with M. Papadimitrakis), Proceedings of
Amer. Math. Soc. 127 (1999) No 7, 2083-2090.
9. Publications in "Proceedings of the Greek Conference on Mathematical Analysis" (without
referee):
i) Examples and counter examples on a recent result, 3rd Conference, Ioannina, May 28-29
(1993),89-94.
ii) On two conjectures for polynomials, 4th Conference, Univ. of Patras, September 23-24
(1994), 93-97.
iii) On same examples of (C,1) summable Taylor Series of non-rational functions, 5th Confe-
rence, Heraklion, September 13-14 (1996), 57-59.
iv) Extension of a formula of Rogosinski and some application, 6th Conference, Samos,
September 5-7 (1997), 111-116.
10. On the set of limit points of partial sums of Taylor series. A survey paper, where (among
others) the results of the above papers 1, 2, 4, 5 and 8 are gathered together,will appear
in the "Pichorides Volume", University of Crete, Department of mathematics.